{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import os\n",
    "\n",
    "from genomics.popgen.plink.convert import to_eigen\n",
    "from genomics.popgen.pca import plot, smart\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Meta-data load"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "f = open('relationships_w_pops_121708.txt')\n",
    "ind_pop = {}\n",
    "f.readline()  # header\n",
    "for l in f:\n",
    "    toks = l.rstrip().split('\\t')\n",
    "    fam_id = toks[0]\n",
    "    ind_id = toks[1]\n",
    "    pop = toks[-1]\n",
    "    ind_pop['/'.join([fam_id, ind_id])] = pop\n",
    "f.close()\n",
    "ind_pop['2469/NA20281'] = ind_pop['2805/NA20281']"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Requires plink from data preparation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "to_eigen('hapmap10_auto_noofs_ld_12', 'hapmap10_auto_noofs_ld_12')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Running smartpca"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "ctrl = smart.SmartPCAController('hapmap10_auto_noofs_ld_12')\n",
    "ctrl.run()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "wei, wei_perc, ind_comp = smart.parse_evec('hapmap10_auto_noofs_ld_12.evec', 'hapmap10_auto_noofs_ld_12.eval')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(<Figure size 1080x576 with 1 Axes>,\n",
       " <matplotlib.axes._subplots.AxesSubplot at 0x7f6469be2550>)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot.render_pca(ind_comp, 1, 2, cluster=ind_pop)\n",
    "#put weights"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(<Figure size 1080x576 with 5 Axes>,\n",
       " [<matplotlib.axes._subplots.AxesSubplot at 0x7f6465fafb00>,\n",
       "  <matplotlib.axes._subplots.AxesSubplot at 0x7f6465f105c0>,\n",
       "  <matplotlib.axes._subplots.AxesSubplot at 0x7f6465f35c18>,\n",
       "  <matplotlib.axes._subplots.AxesSubplot at 0x7f6465ee92e8>,\n",
       "  <matplotlib.axes._subplots.AxesSubplot at 0x7f6465e90978>])"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x576 with 5 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot.render_pca_eight(ind_comp, cluster=ind_pop)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "markers = { 'CHB': '*', 'CHD': '*', 'JPT': '*', 'GIH': '*',\n",
    "           'CEU': 'v', 'TSI': 'v', 'MEX': 'v',\n",
    "           'ASW': 'o', 'LWK': 'o', 'YRI': 'o', 'MKK': 'o'\n",
    "           }\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## With scikit-learn"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from sklearn.decomposition import PCA\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "55345\n"
     ]
    }
   ],
   "source": [
    "f = open('hapmap10_auto_noofs_ld_12.ped')\n",
    "ninds = 0\n",
    "ind_order = []\n",
    "for line in f:\n",
    "    ninds += 1\n",
    "    toks = line[:100].replace(' ', '\\t').split('\\t') #  for speed\n",
    "    fam_id = toks[0]\n",
    "    ind_id = toks[1]\n",
    "    ind_order.append('%s/%s' % (fam_id, ind_id))\n",
    "nsnps = (len(line.replace(' ', '\\t').split('\\t')) - 6) // 2\n",
    "print (nsnps)\n",
    "f.close()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(988, 55345)\n"
     ]
    }
   ],
   "source": [
    "pca_array = np.empty((ninds, nsnps), dtype=int)\n",
    "print(pca_array.shape)\n",
    "f = open('hapmap10_auto_noofs_ld_12.ped')\n",
    "for ind, line in enumerate(f):\n",
    "    snps = line.replace(' ', '\\t').split('\\t')[6:]\n",
    "    for pos in range(len(snps) // 2):\n",
    "        a1 = int(snps[2 * pos])\n",
    "        a2 = int(snps[2 * pos])\n",
    "        my_code = a1 + a2 - 2\n",
    "        pca_array[ind, pos] = my_code\n",
    "f.close()\n",
    "#slow"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "my_pca = PCA(n_components=8)\n",
    "my_pca.fit(pca_array)\n",
    "trans = my_pca.transform(pca_array)\n",
    "#Memory required"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(<Figure size 1080x576 with 5 Axes>,\n",
       " [<matplotlib.axes._subplots.AxesSubplot at 0x7f6459d02748>,\n",
       "  <matplotlib.axes._subplots.AxesSubplot at 0x7f643d572898>,\n",
       "  <matplotlib.axes._subplots.AxesSubplot at 0x7f643d51cdd8>,\n",
       "  <matplotlib.axes._subplots.AxesSubplot at 0x7f643d4cd4a8>,\n",
       "  <matplotlib.axes._subplots.AxesSubplot at 0x7f643d4f5b38>])"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x576 with 5 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sc_ind_comp = {}\n",
    "for i, ind_pca in enumerate(trans):\n",
    "    sc_ind_comp[ind_order[i]] = ind_pca\n",
    "plot.render_pca_eight(sc_ind_comp, cluster=ind_pop)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
